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Simplifying 4[1 + -1(4x + -3)] = 6(4 + -2x) Reorder the terms: 4[1 + -1(-3 + 4x)] = 6(4 + -2x) 4[1 + (-3 * -1 + 4x * -1)] = 6(4 + -2x) 4[1 + (3 + -4x)] = 6(4 + -2x) Combine like terms: 1 + 3 = 4 4[4 + -4x] = 6(4 + -2x) [4 * 4 + -4x * 4] = 6(4 + -2x) [16 + -16x] = 6(4 + -2x) 16 + -16x = (4 * 6 + -2x * 6) 16 + -16x = (24 + -12x) Solving 16 + -16x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 16 + -16x + 12x = 24 + -12x + 12x Combine like terms: -16x + 12x = -4x 16 + -4x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + -4x = 24 + 0 16 + -4x = 24 Add '-16' to each side of the equation. 16 + -16 + -4x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -4x = 24 + -16 -4x = 24 + -16 Combine like terms: 24 + -16 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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